A lattice bosonic model as a quantum theory of gravity

TL;DR

This paper constructs a lattice bosonic model whose low-energy excitations behave as gravitons, providing a potential quantum theory of gravity at the linearized level through discretized metric variables.

Contribution

It introduces a novel lattice bosonic model that reproduces linearized Einstein gravity, emphasizing the importance of compactification and discretization of metric variables.

Findings

Low-energy excitations are gravitons described by linearized Einstein action.

The model demonstrates a quantum theory of gravity at the linear level.

Compactification and discretization are key to modeling gravity on a lattice.

Abstract

A local quantum bosonic model on a lattice is constructed whose low energy excitations are gravitons described by linearized Einstein action. Thus the bosonic model is a quantum theory of gravity, at least at the linear level. We find that the compactification and the discretization of metric tenor are crucial in obtaining a quantum theory of gravity.